The Leanpub 60 Day 100% Happiness Guarantee
Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms...
THE ARCHITECTURE OF THOUGHT Applied Mathematics in Large Language Models & GenAI
Applied mathematics in large language Models &GenAI
This book is 100% completeLast updated on 2026-07-09
Move beyond the API. Dismantle the AI black box and build generative engines from scratch with pure Python and Numpy.
Minimum price
$19.00
$35.00
You pay
Author earns
PDF
About
About the Book
Book Description
Unlock the Geometric Secrets of Generative AI—No Black Boxes, No Shortcuts, Just Pure Math and Code.The generative AI boom has created millions of "API consumers"—developers who can plug in a pre-built model but remain completely blind to how these systems actually compute language. If you want to move beyond being a mere consumer and become a true AI innovator, you must dismantle the black box.
"The Architecture of Thought" is your ultimate geometric guide to the underlying linear algebra, matrix calculus, information theory, and training dynamics that power modern Large Language Models (LLMs) like GPT and Claude.
Written specifically for engineers, data scientists, and computer science students, this book completely skips the high-level hand-waving and takes you on a deep mathematical dive. But you won't just read about equations—you will build them. Every single chapter concludes with a practical, robust implementation using pure Python and NumPy from scratch. No PyTorch, no Hugging Face, no hidden libraries.
What You Will Master Inside:- The Geometry of Text: Learn how human words are mapped into high-dimensional vector spaces ($Embeddings$) and calibrated via matrix dimensions and distance metrics
The Heart of GenAI: Master the exact calculus behind the Dot-Product Attention mechanism and understand how Query (Q), Key (K), and Value (V) matrices calculate dynamic contextual alignment.
The Transformer Machine: Assemble a full Transformer Encoder Block step-by-step, implementing custom Layer Normalization, Residual Connections, and Softmax functions.
Training Dynamics & Scaling Laws: Demystify Cross-Entropy loss, System Perplexity, Byte-Pair Encoding (BPE), and the empirical Chinchilla Scaling Laws that dictate compute vs. data size budgets.
The Generative Frontier: Discover how Causal Masking mathematically blinds a matrix to the future, allowing the network to perform true autoregressive text generation.
Who This Book Is For:- Software Engineers & Developers who want to transition into core AI engineering and understand the math driving the APIs.
- Data Science & Engineering Students looking for a bridge between university formulas and production-ready Python code.
- AI Enthusiasts who refuse to accept "it's just a neural network" and want to see the literal matrix multiplications shaping machine thoughts.
Stop calling APIs. Start building architectures. Grab your copy today and master the geometry of thought!
Bundle
Bundles that include this book
- Pricing
$19.00
Minimum priceBought separately$132Suggested price$29.00
Author
About the Author
Anas AhmedAdawy
Anas Ahmed Adawy is an independent author and tech enthusiast passionate about bridging the gap between theoretical science and practical coding. With a focus on applied mathematics, linear algebra, and machine learning, he creates beginner-friendly guides designed to help programmers and students master the core mechanics behind modern AI. His writing breaks down complex academic formulas into clear, actionable Python code.
Earn $8 on a $10 Purchase, and $16 on a $20 Purchase
We pay 80% royalties on purchases of $7.99 or more, and 80% royalties minus a 50 cent flat fee on purchases between $0.99 and $7.98. You earn $8 on a $10 sale, and $16 on a $20 sale. So, if we sell 5000 non-refunded copies of your book for $20, you'll earn $80,000.
(Yes, some authors have already earned much more than that on Leanpub.)
In fact, authors have earned over $15 million writing, publishing and selling on Leanpub.
Learn more about writing on Leanpub
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers) and EPUB (for phones, tablets and Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
Write and Publish on Leanpub
You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses!
Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks.
Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. (Or, if you are producing your ebook your own way, you can even upload your own PDF and/or EPUB files and then publish with one click!) It really is that easy.